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JGT
2006
81views more  JGT 2006»
14 years 11 months ago
A Ramsey-type result for the hypercube
We prove that for every fixed k and 5 and for sufficiently large n, every edge coloring of the hypercube Qn with k colors contains a monochromatic cycle of length 2 . This answer...
Noga Alon, Rados Radoicic, Benny Sudakov, Jan Vond...
SPAA
2003
ACM
15 years 5 months ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman
PERCOM
2008
ACM
15 years 6 months ago
TIGRA: Timely Sensor Data Collection Using Distributed Graph Coloring
In this paper we present a protocol for sensor applications that require periodic collection of raw data reports from the entire network in a timely manner. We formulate the probl...
Lilia Paradis, Qi Han
WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
15 years 5 months ago
On the Minimum Load Coloring Problem
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...
SPAA
2009
ACM
15 years 6 months ago
Weak graph colorings: distributed algorithms and applications
We study deterministic, distributed algorithms for two weak variants of the standard graph coloring problem. We consider defective colorings, i.e., colorings where nodes of a colo...
Fabian Kuhn